Define T : P4(R) → P4(R) by T(p)= ((3x^2 −4x+9)p)'' (a)  Show that T is a surjective linear map. (b)  Find the matrix M(T). (c)  Let q(x) = x4 −8x3 +5x2 −x+2. Find p ∈ P4(R) such that T(p) = q by solving the matrix equation M(T)X = M(q) via row reduction

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